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Finding the Fourth Proportional to 4,649.96, 6,416.74 and 2,553.96

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Solution

The fourth proportional to 4,649.96, 6,416.74 and 2,553.96 is: 3,524.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.96 : 6,416.74 = 2,553.96 : x
  2. Step 2: Convert to fraction form
    4,649.96/6,416.74 = 2,553.96/x
  3. Step 3: Cross multiply
    4,649.96x = 6,416.74 × 2,553.96
  4. Step 4: Simplify right side
    4,649.96x = 16,388,097.29
  5. Step 5: Solve for x
    x = 16,388,097.29/4,649.96
  6. Step 6: Final answer
    x = 3,524.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.